A Theorem Relating Multidimensional Generalized Weyl Fractional Integral, Laplace and Varma Transforms with Applications

Abstract

The main aim of this paper is to establish a theorem which asserts an interesting relationship between the multidimensional Laplace transform, the multidimensional Varma transform and the generalized Weyl fractional integral involving product of a general class of multivariable polynomials and a generalized polynomial set. By specializing the various parameters involved, this general theorem would readily yield several (known and new) results involving simpler integral operators. Further, the theorem is applied to evaluate the generalized Weyl fractional integrals of Fox’s H-function and the (Srivastava – Panda) H-function of several complex variables